contestada

A number between 10 and 100 is 8 times the sum of its digits. If 45 is substracted
from it, the result equals the number formed by interchanging its digit. Find the
number

Respuesta :

emanshahzadi929

Answer:

72

Step-by-step explanation:

Let the number be [tex]xy[/tex]

Value of number = [tex]10x+y[/tex]

[tex]10x+y=8(x+y)[/tex]

[tex]10x+y=8x+8y[/tex]

[tex]2x-7y+0........(1)[/tex]

[tex]10x+y-45=10y+x[/tex]

[tex]9x-9y=45[/tex]

[tex]x-y=5............(2)[/tex]

Multiply by [tex]-2[/tex]

[tex]-2x+2y=-10[/tex]

Add to [tex](1)[/tex]

[tex]-5y=-10[/tex]

[tex]y=2[/tex]

[tex]x-y=5[/tex]

[tex]x-(2)=5[/tex]

[tex]x=7[/tex]

Number = 72

hope this helps...

Otras preguntas